Finding the Third Proportional to 302,312 and 456,870

Step by Step Solution

1. Step 1: Write the proportion equation
   302,312 : 456,870 = 456,870 : x
2. Step 2: Convert to fraction form
   302,312/456,870 = 456,870/x
3. Step 3: Cross multiply
   302,312x = 456,870 × 456,870
4. Step 4: Simplify right side
   302,312x = 208,730,196,900
5. Step 5: Solve for x
   x = 208,730,196,900/302,312
6. Step 6: Final answer
   x = 690,446.28